GCD of 738, 465, 59, 598 Calculator

Given Input numbers are 738, 465, 59, 598

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 738, 465, 59, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 465, 59, 598 is 1.

Therefore, GCD of numbers 738, 465, 59, 598 is 1

Given Input Data is 738, 465, 59, 598

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 59 is 59

Prime Factorization of 598 is 2 x 13 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(738, 465) = 114390

GCD(738, 465) = ( 738 x 465 ) / 114390

GCD(738, 465) = 343170 / 114390

GCD(738, 465) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 59

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 59) = 177

GCD(3, 59) = ( 3 x 59 ) / 177

GCD(3, 59) = 177 / 177

GCD(3, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 738, 465, 59, 598 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 950, 92, 763
• GCD of 165, 756, 10, 387
• GCD of 325, 974, 79, 738
• GCD of 459, 717, 68, 405
• GCD of 159, 883, 41, 321

1. What is the GCD of 738, 465, 59, 598?

GCD of 738, 465, 59, 598 is 1

2. Where do I get the detailed procedure to find GCD of 738, 465, 59, 598?

You can find a detailed procedure to find GCD of 738, 465, 59, 598 on our page.

3. How to find GCD of 738, 465, 59, 598 on a calculator?

You can find the GCD of 738, 465, 59, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.